Abstract: The invention relates to input and output circuits for multiplexing equipment, especially the kind used in telephone systems where nominally identical clocking signals have natural deviations of timing (called "plesiochronous" signals). The invention uses the "justification" principle to ensure the clock synchronization of plesiochronous digital signals. A buffer memory, with independent writing and reading capabilities, is formed of two first in-first out or "FiFo" memories connected in series. The request signal for a "justification" is made when a connection is completed between an IR (Input-Ready) output of the second FiFo memory and an input SO (Shift-Out) of the first FiFo memory, if there is an undesirable phase shift between the input and output clocking system.